ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- Please no written by handarrow_forward1 Consider the two investments listed below with possible outcomes and probabilities: INVESTMENT (in $1000) P SAFE RISKY INVESTMENT AMOUNT 40+ 40+ GOOD SCENARIO OUTCOME 45+ 80+ AVERAGE+ SCENARIO PROB+ OUTCOME 0.40+ 0.40 42+ 45 BAD+ SCENARIO PROB OUTCOME PROB 0.20 35+ 0.20 10 0.40€ 0.40 a) What are the expected payoffs (E(x)) and standard deviations for each investment? b) Suppose I have utility function U(*) = √(x). What is the expected utility from each investment? c) Which investment will I choose, if any? Show and explain your work and provide the intuition.< d) What is the value of the risk premium for the SAFE investment? Show and explain your work and provide the intuition. e) What is the value of the risk premium for the RISKY investment? Show and explain your work and provide the intuition.< 43 A ✔ →arrow_forwardQuestion 1 Bob. Ann north Consider the following sequential-move game between Ann and Вов south visky ир down (2,6) Ann Nature left 50% (2,5) cold hot left 50% (3,10) right 50% (56) (3,4) (4,7) External uncertainty is handled by an outside player called "Nature". Nature chooses "Left" with probability 50%, "Right" with probability 50%. A. Use backward induction to find the rollback equilibrium. B. What are the rollback equilibrium payoffs? C. How many strategies does each player have? For each player, list all his/her strategies.arrow_forward
- Player Rhas a $2, a $5, and a $10 bill. Player Chas a $1, a $5, and a $10 bill. Each player selects and shows (simultaneously) one of his or her three bills. If the total value of the two bills shown is even, Rwins Cs bill; if the value is odd, Cwins Rs bill. (Which player would you rather be?) (A) Set up the payoff matrix for the game. (B) Solve the game using the simplex method discussed in this section. (Remove any recessive rows and columns, if present, before you start the simplex method.)arrow_forwardNote:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardQuestion 4. Zeynep and Mehmet will eventually play the following game. Mehmet L R U 3,1 0,0 Zeynep D 0,3 1,3 In a preliminary stage, Zeynep has already asked Mehmet to allow her to move first and proposed to pay him 1 unit of her own payoff in exchange. So Mehmet has to options: • If he accepts Zeynep's offer: they will play the sequential move version of the above game in which Zeynep moves first. Mehmet will receive 1 unit of utility more, and Zeynep will receive 1 unit of utility less (in any outcome of the game) compared to the payoffs given in the bimatrix. 2 • If he rejects Zeynep's offer: they will play the simultaneous move game. a. Represent this strategic interaction in a game tree. b. How many information sets does each player have? c. Characterize the set of pure strategies for both players. d. Present this game as a normal-form game, and characterize the set of pure strategy Nash equi- libria.arrow_forward
- 4 In a gambling game, Player A and Player B both have a $5 and a $10 bill. Each player selects one of the bills without the other player knowing the bill selected. Simultaneously they both reveal the bills selected. If the bills do not match, Player A wins Player B's bill. If the bills match, Player B wins Player A's bill. (a) Develop the game theory table for this game. The values should be expressed as the gains (or losses) for Player A. Player B Player A $5 $10 $5 (b) Is there a pure strategy? Why or why not? ---Select--- . Since the maximum of the row minimums is --Select--- (c) Determine the optimal strategies and the value of this game. probability Player A selects $5 probability Player A selects $10 probability Player B selects $5 probability Player B selects $10 = = $10 = = Does the game favor one player over the other? Yes O No and the minimum of the column maximums is (d) Suppose Player B decides to deviate from the optimal strategy and begins playing each bill 50% of the…arrow_forwardYou do not have to answer 1st question just look at the picture then answer the 2nd question.arrow_forwardPlz solve asap handwritten solution acceptablearrow_forward
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